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Finding the Third Proportional to 2,471.55 and 3,940.31

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Solution

The third proportional to 2,471.55 and 3,940.31 is: 6,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.55 : 3,940.31 = 3,940.31 : x
  2. Step 2: Convert to fraction form
    2,471.55/3,940.31 = 3,940.31/x
  3. Step 3: Cross multiply
    2,471.55x = 3,940.31 × 3,940.31
  4. Step 4: Simplify right side
    2,471.55x = 15,526,062.60
  5. Step 5: Solve for x
    x = 15,526,062.60/2,471.55
  6. Step 6: Final answer
    x = 6,281.90

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.